Multiple core dumps - Core and Encore?

[Tim_Buxton at UM.CC.UMICH.EDU]

We would like to arrange something (the shell? the executable) so that
when some of the multiple processes we are fond of running dump core
simultaneously in the same directory, there is a separate core file
for each, instead of the current situation, where the last core
to dump is the only one evident, giving the mistaken impression
that only one process died, and preventing debugging of the other
core(s).  I know one way to achieve this is to run the processes
each in its own directory, but this makes some other things more
clumsy.  Is there a way to select a corefile name other than core?
 
Thanks for any help.
 
                  -Tim  Buxton
                   OptiMetrics, Inc.
                   Tim_Buxton at um.cc.umich.edu